Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170bk |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
10116187200 = 26 · 37 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-662,-4251] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:51:1] |
Generators of the group modulo torsion |
j |
43949604889/13876800 |
j-invariant |
L |
9.988474848373 |
L(r)(E,1)/r! |
Ω |
0.96471464892983 |
Real period |
R |
0.43140886528174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390d1 |
Quadratic twists by: -3 |